Logarhythm

We can see that k² - 7k + 12.25 is a perfect square polynomial. This means:

k² - 7k + 12.25

= (k - 3.5)²

(k - 3.5)² > 0 

k - 3.5 > 0  or k - 3.5 < 0

k > 3.5  or  k < 3.5

∠DCA and ∠CAB are alternate interior angles, which means they are the same. 

∠DCE = 180 - 33 = 147

∠ACB = 180 - 33 - 2x = 360 - 33 - 147 - 5x

                     147 - 2x = 180 - 5x

                              3x = 33

                                x = 11

She has 4,000 dollars. 

A = P(1 + r/n)^nt

where,

A = final amount

P = initial investment 

r = interest rate

n = number of times interest is applied

t = number of time periods

Case A: 

A = P(1 + r/n)^nt

    = 4000(1 + 0.1/1)^(1*2)

   = 4000(1.1)²

   = 4000 * 1.21

   = $4840.00 

A = P(1 + rt)

where,

A = final amount

P = initial investment

r = interest rate

t = time in years

Case B:
A = P(1 + rt)

   = 4000(1 + 0.1*2)

   = 4000 * 1.2

   = $4800.00

4840 - 4800 = 40, which means your answer is B) The compount interest account earns 40 more in two years than the simple interest account.

Hope this helps :)

Let a = adult ticket cost and c = children ticket cost.

3a + 2c = 23.50

2a + 4c = 25.00

System of Equations:

2(3a + 2c = 23.50)

= 6a + 4c = 47

   2a + 4c = 25

----------------------

   4a = 22

     a = $5.50

3a + 2c = 23.50

3(5.5) + 2c = 23.50

16.5 + 2c = 23.5

     2c = 7

       c = $3.50

x + y = 25

x - y = 13

-------------

2x = 38 

  x = 19

x + y = 25

(19) + y = 25

           y = 6

xy 

= (19)(6)

= 114

(13/7)² ≈ 3.449

[3.449] = 4

4 + 17/4 = 8.25 

[8.25] = 8

:)

(2,000,000 + 2,500,000) * 0.4

= 4,500,000 * 0.4

= $1,800,000

√23 ≈ 4.7958

≈ [-4.7958]

= -4

= 2 + 5 + 15

= 22

-5x² * 1 = -5x²

-7x * -6x = 42x²

1 * -x² = -x²

-5 + 42 - 1 = 36x², which means 36 is your coefficient